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Faculty of Mathematics

 

  • 2020 - present: Junior Research Fellow, Trinity College, University of Cambridge.
  • 2016 - 2020: PhD student, DAMTP, CCA, University of Cambridge. 
  • 2015 - 2016: M.Math. (Part III), University of Cambridge.
  • 2012 - 2015: B.A. Maths, University of Cambridge.

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Publications

On the computation of geometric features of spectra of linear operators on Hilbert spaces
MJ Colbrook
(2019)
A hybrid analytical-numerical method for solving advection-dispersion problems on a half-line
FPJ de Barros, MJ Colbrook, AS Fokas
– International Journal of Heat and Mass Transfer
(2019)
139,
482
How to Compute Spectra with Error Control.
MJ Colbrook, B Roman, AC Hansen
– Physical review letters
(2019)
122,
250201
Pseudoergodic operators and periodic boundary conditions.
MJ Colbrook
– Math. Comput.
(2019)
89,
737
The unified transform: A spectral collocation method for acoustic scattering
LJ Ayton, M Colbrook, A Fokas
– 25th AIAA/CEAS Aeroacoustics Conference, 2019
(2019)
On the infinite-dimensional QR algorithm
M Colbrook, A Hansen
– Numerische Mathematik
(2019)
abs/2011.08172,
1
The Unified Transform: A Spectral Collocation Method for Acoustic Scattering
LJ Ayton, M Colbrook, A Fokas
– 25th AIAA/CEAS Aeroacoustics Conference
(2019)
Correction to ‘The unified transform for mixed boundary condition problems in unbounded domains’
MJ Colbrook, LJ Ayton, AS Fokas
– Proc Math Phys Eng Sci
(2019)
475,
20190201
A Hybrid Analytical-Numerical Technique for Elliptic PDEs
MJ Colbrook, TS Fokas, P Hashemzadeh
– SIAM J. Sci. Comput.
(2019)
41,
A1066
The unified transform for mixed boundary condition problems in unbounded domains.
MJ Colbrook, LJ Ayton, AS Fokas
– Proceedings. Mathematical, physical, and engineering sciences
(2019)
475,
20180605
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